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Representing Proportional Relationships with Equations

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Representing Proportional Relationships with Equations

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About this activity

K7 Math

Created by

Reina Luong
Reina Luong
Viet Nam

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Representing Proportional Relationships with Equations
 

Representing Proportional Relationships with EquationsOnline version

K7 Math

by Reina Luong
1

Wendy is arranging books on the bookshelves. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books. If Wendy arranged 16 rows, she arranged a total of ? books.

2

Lori works as a cartoonist. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches. If Lori made 3/4 of a sketch, she spent .. minutes sketching.

3

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is

4

Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $...

Written answer

5

Tammy rents an apartment close to her school campus.The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?

6

Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute?

7

An auditorium has 100 seats for every 10 rows. Each row has the same number of seats. If s represents the number of seats and r represents the number of rows, which equation represents this proportional relationship?

8

A pipe in Luke's house froze and cracked from cold weather. Now he has a water leak. The leak has been releasing 2/3 of a liter of water every 2 hours. If w represents the amount of water lost and h represents the number of hours, which equation represents this proportional relationship?

9

Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?

Choose one or more answers

10

Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?

Choose one or more answers
 
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